Area of Grid Calculator

Main Category	Math ↺
Math	Geometry ↺
Geometry	2D Geometry ↺
2D Geometry	Grid ↺

✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Width of an object is the maximum horizontal length of the object.ⓘ Width [W]			+10% -10%
✖Number of holes in length represent the number of holes that are present in the length.ⓘ Number of holes in length [m]			+10% -10%
✖Number of holes in width is measure of number of holes that are present in the grid width wise.ⓘ Number of holes in width [n]			+10% -10%
✖Edge length of hole is used to represnt the length of edge of the holes formed in any shape of figure.ⓘ Edge length of hole [L_{Edge Hole}]			+10% -10%

✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area of Grid [A]

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Credits

Shivam Dixit

BSS Education Centre Kanpur (BSS College), Kanpur

Shivam Dixit has created this Calculator and 10+ more calculators!

Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 50+ more calculators!

Area of Grid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2))
A = (L*W)-(m*n*((L_{Edge Hole})^2))
This formula uses 5 Variables

Variables Used

Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Width - Width of an object is the maximum horizontal length of the object. (Measured in Meter)
Number of holes in length- Number of holes in length represent the number of holes that are present in the length.
Number of holes in width- Number of holes in width is measure of number of holes that are present in the grid width wise.
Edge length of hole - Edge length of hole is used to represnt the length of edge of the holes formed in any shape of figure. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Length: 3 Meter --> 3 Meter No Conversion Required
Width: 8 Meter --> 8 Meter No Conversion Required
Number of holes in length: 2 --> No Conversion Required
Number of holes in width: 5 --> No Conversion Required
Edge length of hole: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (L*W)-(m*n*((L_{Edge Hole})^2)) --> (3*8)-(2*5*((2)^2))

Evaluating ... ...

A = -16

STEP 3: Convert Result to Output's Unit

-16 Square Meter --> No Conversion Required

FINAL ANSWER

-16 Square Meter <-- Area

(Calculation completed in 00.016 seconds)

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< 10+ Grid Calculators

Perimeter of Grid

Perimeter = 2*(Length+Width)+4*Number of holes in Length*Number of holes in Width*Edge Length of hole Go

Area of Grid

Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2)) Go

Bar thickness of Grid given rectangle length and edge length of hole

Thickness = (Length-(Number of holes in Length*Edge Length of hole))/(Number of holes in Length+1) Go

Rectangle length of Grid given perimeter and width

Length = (Perimeter-2*Width-4*Number of holes in length*Number of holes in Width*Edge length of hole)/2 Go

Edge length of hole in Grid given rectangle width and number of holes in width

Edge length of hole = (Width-((Number of holes in Width+1)*Bar Thickness))/Number of holes in Width Go

Edge length of hole in Grid given rectangle length and number of holes in length

Edge length of hole = (Rectangle length of grid-((Number of holes in length+1)*Thickness))/Number of holes in length Go

Bar thickness of Grid given rectangle width and edge length of hole

Thickness = (Rectangle Width-Number of holes in width*Edge length of hole)/(Number of holes in width+1) Go

Rectangle length of Grid

Length = Number of holes in length*Edge length of hole+(Number of holes in length+1)*Thickness Go

Rectangle width of Grid

Width = Number of holes in width*Edge length of hole+(Number of holes in width+1)*Thickness Go

Number of holes in width of Grid

Number of holes in width = (Width-Thickness)/(Edge length of hole+Thickness) Go

Area of Grid Formula

Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2))
A = (L*W)-(m*n*((L_{Edge Hole})^2))

What is a Grid?

Grid is a rectangular shape which has a number of square shaped holes in it and overall it keeps the symmetry. So the number of holes in the Grid can be calculated as the product of number of holes in row and column of the Grid rectangle.

How to Calculate Area of Grid?

Area of Grid calculator uses Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2)) to calculate the Area, The Area of Grid formula is defined as the quantity of total plane bounded by the Grid. Area is denoted by A symbol.

How to calculate Area of Grid using this online calculator? To use this online calculator for Area of Grid, enter Length (L), Width (W), Number of holes in length (m), Number of holes in width (n) & Edge length of hole (L_{Edge Hole}) and hit the calculate button. Here is how the Area of Grid calculation can be explained with given input values -> -16 = (3*8)-(2*5*((2)^2)).

FAQ

What is Area of Grid?

The Area of Grid formula is defined as the quantity of total plane bounded by the Grid and is represented as A = (L*W)-(m*n*((L_{Edge Hole})^2)) or Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2)). Length is the measurement or extent of something from end to end, Width of an object is the maximum horizontal length of the object, Number of holes in length represent the number of holes that are present in the length, Number of holes in width is measure of number of holes that are present in the grid width wise & Edge length of hole is used to represnt the length of edge of the holes formed in any shape of figure.

How to calculate Area of Grid?

The Area of Grid formula is defined as the quantity of total plane bounded by the Grid is calculated using Area = (Length*Width)-(Number of holes in Length*Number of holes in width*((Edge Length of hole)^2)). To calculate Area of Grid, you need Length (L), Width (W), Number of holes in length (m), Number of holes in width (n) & Edge length of hole (L_{Edge Hole}). With our tool, you need to enter the respective value for Length, Width, Number of holes in length, Number of holes in width & Edge length of hole and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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